Intersection cohomology of $S^1$ symplectic quotients and small resolutions

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We provided two explicit formulas for the intersection cohomology (as a graded vector space with pairing) of the symplectic quotient by a circle in terms of the $S^1$ equivariant cohomology of the original symplectic manifold and the fixed point data. The key idea is the construction of a small resolution of the symplectic quotient.
17 pages, LaTeX 2e

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Differential Geometry, Algebraic Geometry, Algebraic Topology, Symplectic Geometry, 58F05 (Primary) 32C42 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/77518

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9810046
 http://arxiv.org/abs/math/9810046

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arXiv